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gizmo_the_mogwai [7]
2 years ago
15

Fundamental Counting Principle (L1)

Mathematics
1 answer:
Kamila [148]2 years ago
4 0
Hope you are having a great day!

STEP BY STEP: a+b(x)=6
You might be interested in
In the sequence 3 8 13 18 what term of the series is the number 2218
77julia77 [94]
By clearly looking at the sequence there are in Arithmetic Progression
So for finding which term is 2218 in that sequence
we have  x_{n} = a+ (n-1)d
Here,
a=3
 x_{n}=2218 & d=5(by looking at the sequence given)
by substituting those values we get our desired result
2218=3+(n-1)5
2218-3=(n-1)5
2215=(n-1)5
2215/5=n-1
453=n-1
n=454
so 454 term is 2218
7 0
2 years ago
Find the gradients of line a and b
gayaneshka [121]

Answer:

Gradient of A: 2

Gradient of B: -1

Step-by-step explanation:

Gradient = change in y/change in x

✔️Gradient of A using two points on line A, (2, 5) and (0, 1):

Gradient = (1 - 5)/(0 - 2) = -4/-2

Simplify

Gradient of A = 2

✔️Gradient of B using two points on line B, (0, 5) and (5, 0):

Gradient = (0 - 5)/(5 - 0) = -5/5

Simplify

Gradient of B = -1

5 0
2 years ago
Pls help ASAP i don’t have time!!!!!
Ivahew [28]

Answer:

12.5 on left side and right side is 20.5 and 17.5

Step-by-step explanation:

Just put them on the other side that the number is on.

7 0
2 years ago
Determine whether the points (–3,–2) and (3,2) are in the solution set of the system of inequalities below. y ≤ ½x + 2 y < –2
lana [24]

Given:

The system of inequalities:

y\leq \dfrac{1}{2}x+2

y

To find:

Whether the points (–3,–2) and (3,2) are in the solution set of the given system of inequalities.

Solution:

A point is in the solution set of the given system of inequalities if it satisfies both inequalities.

Check for the point (-3,-2).

-2\leq \dfrac{1}{2}(-3)+2

-2\leq -1.5+2

-2\leq 0.5

This statement is true.

-2

-2

-2

This statement is also true.

Since the point (-3,-2) satisfies both inequalities, therefore (-3,-2) is in the solution set of the given system of inequalities.

Now, check for the point (3,2).

2

2

2

This statement is false because 2>-9.

Since the point (3,2) does not satisfy the second inequality, therefore (3,2) is not in the solution set of the given system of inequalities.

7 0
3 years ago
Radius of a sphere that has a surface area 12.56in2 use 3.14
enot [183]
\bf \textit{surface area of a sphere}\\\\
A=4\pi r^2\qquad 
\begin{cases}
r=radius\\
-----\\
A=12.56
\end{cases}\implies 12.56=4\pi r^2
\\\\\\
\cfrac{12.56}{4\pi }=r^2\implies \sqrt{\cfrac{12.56}{4\pi }}=r
8 0
2 years ago
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